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34980486156 = 223271179159737
BaseRepresentation
bin100000100100111111…
…111101110000001100
310100021211221210222100
4200210333331300030
51033120001024111
624023025115100
72345564140440
oct404477756014
9110254853870
1034980486156
1113920632aa0
126942a88a90
1333b6180925
14199baaa820
15d9aec8756
hex824ffdc0c

34980486156 has 144 divisors (see below), whose sum is σ = 111637693440. Its totient is φ = 8970773760.

The previous prime is 34980486133. The next prime is 34980486179. The reversal of 34980486156 is 65168408943.

34980486156 is a `hidden beast` number, since 3 + 4 + 9 + 8 + 0 + 486 + 156 = 666.

34980486156 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (34980486133) and next prime (34980486179).

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, 139120 + ... + 298856.

It is an arithmetic number, because the mean of its divisors is an integer number (775261760).

Almost surely, 234980486156 is an apocalyptic number.

34980486156 is a gapful number since it is divisible by the number (36) 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 34980486156, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55818846720).

34980486156 is an abundant number, since it is smaller than the sum of its proper divisors (76657207284).

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

34980486156 is a wasteful number, since it uses less digits than its factorization.

34980486156 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159844 (or 159839 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 54.

The spelling of 34980486156 in words is "thirty-four billion, nine hundred eighty million, four hundred eighty-six thousand, one hundred fifty-six".

Divisors: 1 2 3 4 6 7 9 11 12 14 18 21 22 28 33 36 42 44 63 66 77 79 84 99 126 132 154 158 198 231 237 252 308 316 396 462 474 553 693 711 869 924 948 1106 1386 1422 1659 1738 2212 2607 2772 2844 3318 3476 4977 5214 6083 6636 7821 9954 10428 12166 15642 18249 19908 24332 31284 36498 54747 72996 109494 159737 218988 319474 479211 638948 958422 1118159 1437633 1757107 1916844 2236318 2875266 3354477 3514214 4472636 5271321 5750532 6708954 7028428 10063431 10542642 12299749 12619223 13417908 15813963 20126862 21085284 24599498 25238446 31627926 36899247 37857669 40253724 49198996 50476892 63255852 73798494 75715338 88334561 110697741 113573007 138811453 147596988 151430676 176669122 221395482 227146014 265003683 277622906 353338244 416434359 442790964 454292028 530007366 555245812 795011049 832868718 971680171 1060014732 1249303077 1590022098 1665737436 1943360342 2498606154 2915040513 3180044196 3886720684 4997212308 5830081026 8745121539 11660162052 17490243078 34980486156