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3506676012 = 22327611571453
BaseRepresentation
bin1101000100000011…
…1010000100101100
3100001101102121011100
43101000322010230
524140202113022
61335544123100
7152620153140
oct32100720454
910041377140
103506676012
11153a477654
1281a466490
1343b666228
14253a19220
15157cca1ac
hexd103a12c

3506676012 has 144 divisors (see below), whose sum is σ = 10369183552. Its totient is φ = 978531840.

The previous prime is 3506676007. The next prime is 3506676031. The reversal of 3506676012 is 2106766053.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2412678 + ... + 2414130.

Almost surely, 23506676012 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 3506676012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5184591776).

3506676012 is an abundant number, since it is smaller than the sum of its proper divisors (6862507540).

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

3506676012 is a wasteful number, since it uses less digits than its factorization.

3506676012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1688 (or 1683 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 3506676012 is about 59217.1935505221. The cubic root of 3506676012 is about 1519.2592206383.

The spelling of 3506676012 in words is "three billion, five hundred six million, six hundred seventy-six thousand, twelve".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 61 63 84 122 126 157 183 244 252 314 366 427 471 549 628 732 854 942 1098 1099 1281 1413 1453 1708 1884 2196 2198 2562 2826 2906 3297 3843 4359 4396 5124 5652 5812 6594 7686 8718 9577 9891 10171 13077 13188 15372 17436 19154 19782 20342 26154 28731 30513 38308 39564 40684 52308 57462 61026 67039 86193 88633 91539 114924 122052 134078 172386 177266 183078 201117 228121 265899 268156 344772 354532 366156 402234 456242 531798 603351 620431 684363 797697 804468 912484 1063596 1206702 1240862 1368726 1595394 1596847 1861293 2053089 2413404 2481724 2737452 3190788 3193694 3722586 4106178 4790541 5583879 6387388 7445172 8212356 9581082 11167758 13915381 14371623 19162164 22335516 27830762 28743246 41746143 55661524 57486492 83492286 97407667 125238429 166984572 194815334 250476858 292223001 389630668 500953716 584446002 876669003 1168892004 1753338006 3506676012