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154069534416 = 24371934969151
BaseRepresentation
bin1000111101111101000…
…0101000011011010000
3112201200101000021121110
42033133100220123100
510011013300100131
6154440100453320
714062662302040
oct2173720503320
9481611007543
10154069534416
115a382265636
1225a396aa240
13116b47087a5
147658045720
15401aedc646
hex23df4286d0

154069534416 has 160 divisors (see below), whose sum is σ = 480191488000. Its totient is φ = 41582937600.

The previous prime is 154069534393. The next prime is 154069534519. The reversal of 154069534416 is 614435960451.

It is a happy number.

It is a super-2 number, since 2×1540695344162 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

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, 2193441 + ... + 2262591.

It is an arithmetic number, because the mean of its divisors is an integer number (3001196800).

Almost surely, 2154069534416 is an apocalyptic number.

154069534416 is a gapful number since it is divisible by the number (16) 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 154069534416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240095744000).

154069534416 is an abundant number, since it is smaller than the sum of its proper divisors (326121953584).

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

154069534416 is a wasteful number, since it uses less digits than its factorization.

154069534416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69537 (or 69531 counting only the distinct ones).

The product of its (nonzero) digits is 1555200, while the sum is 48.

The spelling of 154069534416 in words is "one hundred fifty-four billion, sixty-nine million, five hundred thirty-four thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 7 8 12 14 16 19 21 24 28 38 42 48 56 57 76 84 112 114 133 152 168 228 266 304 336 349 399 456 532 698 798 912 1047 1064 1396 1596 2094 2128 2443 2792 3192 4188 4886 5584 6384 6631 7329 8376 9772 13262 14658 16752 19544 19893 26524 29316 39088 39786 46417 53048 58632 69151 79572 92834 106096 117264 138302 139251 159144 185668 207453 276604 278502 318288 371336 414906 484057 553208 557004 742672 829812 968114 1106416 1114008 1313869 1452171 1659624 1936228 2228016 2627738 2904342 3319248 3872456 3941607 5255476 5808684 7744912 7883214 9197083 10510952 11617368 15766428 18394166 21021904 23234736 24133699 27591249 31532856 36788332 48267398 55182498 63065712 72401097 73576664 96534796 110364996 144802194 147153328 168935893 193069592 220729992 289604388 337871786 386139184 441459984 458540281 506807679 579208776 675743572 917080562 1013615358 1158417552 1351487144 1375620843 1834161124 2027230716 2702974288 2751241686 3209781967 3668322248 4054461432 5502483372 6419563934 7336644496 8108922864 9629345901 11004966744 12839127868 19258691802 22009933488 25678255736 38517383604 51356511472 77034767208 154069534416