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45310137374096 = 247337607367613
BaseRepresentation
bin10100100110101100101101…
…01001001001010110010000
312221102121101101020010102122
422103112112221021112100
521414330130131432341
6240211104553033412
712354356305016000
oct1223262651112620
9187377341203378
1045310137374096
1113489a15351051
1250b94a93b5868
131c3895c775b2a
14b29045486000
15538949a9394b
hex293596a49590

45310137374096 has 160 divisors (see below), whose sum is σ = 105317587814400. Its totient is φ = 18862624617984.

The previous prime is 45310137374081. The next prime is 45310137374129. The reversal of 45310137374096 is 69047373101354.

It is a happy 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, 123071186 + ... + 123438798.

It is an arithmetic number, because the mean of its divisors is an integer number (658234923840).

Almost surely, 245310137374096 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 45310137374096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52658793907200).

45310137374096 is an abundant number, since it is smaller than the sum of its proper divisors (60007450440304).

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

45310137374096 is a wasteful number, since it uses less digits than its factorization.

45310137374096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 368286 (or 368266 counting only the distinct ones).

The product of its (nonzero) digits is 5715360, while the sum is 53.

The spelling of 45310137374096 in words is "forty-five trillion, three hundred ten billion, one hundred thirty-seven million, three hundred seventy-four thousand, ninety-six".

Divisors: 1 2 4 7 8 14 16 28 37 49 56 74 98 112 148 196 259 296 343 392 518 592 607 686 784 1036 1214 1372 1813 2072 2428 2744 3626 4144 4249 4856 5488 7252 8498 9712 12691 14504 16996 22459 25382 29008 29743 33992 44918 50764 59486 67984 89836 101528 118972 157213 179672 203056 208201 237944 314426 359344 367613 416402 475888 628852 735226 832804 1100491 1257704 1470452 1665608 2200982 2515408 2573291 2940904 3331216 4401964 5146582 5881808 7703437 8803928 10293164 13601681 15406874 17607856 18013037 20586328 27203362 30813748 36026074 41172656 54406724 61627496 72052148 95211767 108813448 123254992 126091259 144104296 190423534 217626896 223141091 252182518 288208592 380847068 446282182 504365036 666482369 761694136 892564364 1008730072 1332964738 1523388272 1561987637 1785128728 2017460144 2665929476 3123975274 3570257456 4665376583 5331858952 6247950548 8256220367 9330753166 10663717904 10933913459 12495901096 16512440734 18661506332 21867826918 24991802192 33024881468 37323012664 43735653836 57793542569 66049762936 74646025328 76537394213 87471307672 115587085138 132099525872 153074788426 174942615344 231174170276 306149576852 404554797983 462348340552 612299153704 809109595966 924696681104 1224598307408 1618219191932 2831883585881 3236438383864 5663767171762 6472876767728 11327534343524 22655068687048 45310137374096