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76701230282152 = 23722340132119919
BaseRepresentation
bin10001011100001001100101…
…100101011011010110101000
3101001120120021121122112021101
4101130021211211123112220
540023133104423012102
6431044020405051144
722104323663141200
oct2134114545332650
9331516247575241
1076701230282152
1122491899996383
1287292669b6ab4
1333a4b8336b428
1414d25060cd400
158d0295a53e87
hex45c26595b5a8

76701230282152 has 96 divisors (see below), whose sum is σ = 174612044217600. Its totient is φ = 31434890315136.

The previous prime is 76701230282093. The next prime is 76701230282153. The reversal of 76701230282152 is 25128203210767.

It is a super-2 number, since 2×767012302821522 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (46).

It is not an unprimeable number, because it can be changed into a prime (76701230282153) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 35121249 + ... + 37241167.

It is an arithmetic number, because the mean of its divisors is an integer number (1818875460600).

Almost surely, 276701230282152 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 76701230282152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87306022108800).

76701230282152 is an abundant number, since it is smaller than the sum of its proper divisors (97910813935448).

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

76701230282152 is a wasteful number, since it uses less digits than its factorization.

76701230282152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2123975 (or 2123964 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 46.

The spelling of 76701230282152 in words is "seventy-six trillion, seven hundred one billion, two hundred thirty million, two hundred eighty-two thousand, one hundred fifty-two".

Divisors: 1 2 4 7 8 14 23 28 46 49 56 92 98 161 184 196 322 392 644 1127 1288 2254 4013 4508 8026 9016 16052 28091 32104 56182 92299 112364 184598 196637 224728 369196 393274 646093 738392 786548 1292186 1573096 2119919 2584372 4239838 4522651 5168744 8479676 9045302 14839433 16959352 18090604 29678866 36181208 48758137 59357732 97516274 103876031 118715464 195032548 207752062 341306959 390065096 415504124 682613918 831008248 1365227836 2389148713 2730455672 4778297426 8507234947 9556594852 17014469894 19113189704 34028939788 59550644629 68057879576 119101289258 195666403781 238202578516 391332807562 416854512403 476405157032 782665615124 833709024806 1369664826467 1565331230248 1667418049612 2739329652934 3334836099224 5478659305868 9587653785269 10957318611736 19175307570538 38350615141076 76701230282152