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1354745611152 = 2433107137213929
BaseRepresentation
bin10011101101101101001…
…000011000001110010000
311210111211112212122112000
4103231231020120032100
5134144004334024102
62514210032034000
7166606600460223
oct23555510301620
94714745778460
101354745611152
114825a964112a
1219a685692900
139a9a10a77ab
14497da27b5ba
152539022201c
hex13b6d218390

1354745611152 has 160 divisors (see below), whose sum is σ = 3953631772800. Its totient is φ = 444093990912.

The previous prime is 1354745611127. The next prime is 1354745611273. The reversal of 1354745611152 is 2511165474531.

1354745611152 is a `hidden beast` number, since 1 + 3 + 5 + 4 + 74 + 561 + 1 + 15 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 1354745611098 and 1354745611107.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6225724 + ... + 6439652.

It is an arithmetic number, because the mean of its divisors is an integer number (24710198580).

Almost surely, 21354745611152 is an apocalyptic number.

1354745611152 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1354745611152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1976815886400).

1354745611152 is an abundant number, since it is smaller than the sum of its proper divisors (2598886161648).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1354745611152 is a wasteful number, since it uses less digits than its factorization.

1354745611152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 214190 (or 214178 counting only the distinct ones).

The product of its digits is 504000, while the sum is 45.

The spelling of 1354745611152 in words is "one trillion, three hundred fifty-four billion, seven hundred forty-five million, six hundred eleven thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 107 108 137 144 214 216 274 321 411 428 432 548 642 822 856 963 1096 1233 1284 1644 1712 1926 2192 2466 2568 2889 3288 3699 3852 4932 5136 5778 6576 7398 7704 9864 11556 14659 14796 15408 19728 23112 29318 29592 43977 46224 58636 59184 87954 117272 131931 175908 213929 234544 263862 351816 395793 427858 527724 641787 703632 791586 855716 1055448 1283574 1583172 1711432 1925361 2110896 2567148 3166344 3422864 3850722 5134296 5776083 6332688 7701444 10268592 11552166 15402888 22890403 23104332 29308273 30805776 45780806 46208664 58616546 68671209 87924819 91561612 92417328 117233092 137342418 175849638 183123224 206013627 234466184 263774457 274684836 351699276 366246448 412027254 468932368 527548914 549369672 618040881 703398552 791323371 824054508 1055097828 1098739344 1236081762 1406797104 1582646742 1648109016 2110195656 2472163524 3135985211 3165293484 3296218032 4220391312 4944327048 6271970422 6330586968 9407955633 9888654096 12543940844 12661173936 18815911266 25087881688 28223866899 37631822532 50175763376 56447733798 75263645064 84671600697 112895467596 150527290128 169343201394 225790935192 338686402788 451581870384 677372805576 1354745611152