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97248041472 = 293337187871
BaseRepresentation
bin101101010010001101…
…1110101101000000000
3100022000101100100211210
41122210123311220000
53043130444311342
6112401455010120
710011616466541
oct1324433655000
9308011310753
1097248041472
1138273a90a0a
1216a20209940
13922a63330a
1449c77844c8
1527e283e79c
hex16a46f5a00

97248041472 has 80 divisors (see below), whose sum is σ = 259845011712. Its totient is φ = 32319651840.

The previous prime is 97248041467. The next prime is 97248041477. The reversal of 97248041472 is 27414084279.

It is an interprime number because it is at equal distance from previous prime (97248041467) and next prime (97248041477).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (97248041477) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 423697 + ... + 611567.

Almost surely, 297248041472 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 97248041472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129922505856).

97248041472 is an abundant number, since it is smaller than the sum of its proper divisors (162596970240).

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

97248041472 is a wasteful number, since it uses less digits than its factorization.

97248041472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188229 (or 188213 counting only the distinct ones).

The product of its (nonzero) digits is 903168, while the sum is 48.

The spelling of 97248041472 in words is "ninety-seven billion, two hundred forty-eight million, forty-one thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 337 384 512 674 768 1011 1348 1536 2022 2696 4044 5392 8088 10784 16176 21568 32352 43136 64704 86272 129408 172544 187871 258816 375742 517632 563613 751484 1127226 1502968 2254452 3005936 4508904 6011872 9017808 12023744 18035616 24047488 36071232 48094976 63312527 72142464 96189952 126625054 144284928 189937581 253250108 288569856 379875162 506500216 759750324 1013000432 1519500648 2026000864 3039001296 4052001728 6078002592 8104003456 12156005184 16208006912 24312010368 32416013824 48624020736 97248041472