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7136684016 = 2437116532957
BaseRepresentation
bin1101010010110000…
…10010011111110000
3200102100221010000020
412221120102133300
5104103442342031
63140055523440
7341565545640
oct65130223760
920370833006
107136684016
113032521370
121472089580
13899721b67
144b9b7a520
152bb818096
hex1a96127f0

7136684016 has 160 divisors (see below), whose sum is σ = 23028668928. Its totient is φ = 1850219520.

The previous prime is 7136683991. The next prime is 7136684021. The reversal of 7136684016 is 6104866317.

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 2412010 + ... + 2414966.

Almost surely, 27136684016 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7136684016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11514334464).

7136684016 is an abundant number, since it is smaller than the sum of its proper divisors (15891984912).

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

7136684016 is a wasteful number, since it uses less digits than its factorization.

7136684016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3639 (or 3633 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 42.

The square root of 7136684016 is about 84478.8968677977. The cubic root of 7136684016 is about 1925.3018262664.

The spelling of 7136684016 in words is "seven billion, one hundred thirty-six million, six hundred eighty-four thousand, sixteen".

Divisors: 1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 33 42 44 48 56 66 77 84 88 112 132 154 168 176 231 264 308 336 462 528 616 653 924 1232 1306 1848 1959 2612 2957 3696 3918 4571 5224 5914 7183 7836 8871 9142 10448 11828 13713 14366 15672 17742 18284 20699 21549 23656 27426 28732 31344 32527 35484 36568 41398 43098 47312 50281 54852 57464 62097 65054 70968 73136 82796 86196 97581 100562 109704 114928 124194 130108 141936 150843 165592 172392 195162 201124 219408 227689 248388 260216 301686 331184 344784 390324 402248 455378 496776 520432 603372 683067 780648 804496 910756 993552 1206744 1366134 1561296 1821512 1930921 2413488 2732268 3643024 3861842 5464536 5792763 7723684 10929072 11585526 13516447 15447368 21240131 23171052 27032894 30894736 40549341 42480262 46342104 54065788 63720393 81098682 84960524 92684208 108131576 127440786 148680917 162197364 169921048 216263152 254881572 297361834 324394728 339842096 446042751 509763144 594723668 648789456 892085502 1019526288 1189447336 1784171004 2378894672 3568342008 7136684016