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147974480640 = 28355731973
BaseRepresentation
bin1000100111001111110…
…1110110001100000000
3112010221121002110200000
42021303331312030000
54411022431340030
6151551210400000
713455642222000
oct2116375661400
9463847073600
10147974480640
1157834811508
1224818430000
1310c52a3b6ac
14723a772000
153cb0d7a860
hex2273f76300

147974480640 has 1728 divisors, whose sum is σ = 660686208000. Its totient is φ = 31603654656.

The previous prime is 147974480623. The next prime is 147974480663. The reversal of 147974480640 is 46084479741.

147974480640 is a `hidden beast` number, since 1 + 479 + 74 + 48 + 0 + 64 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2027047644 + ... + 2027047716.

Almost surely, 2147974480640 is an apocalyptic number.

147974480640 is a gapful number since it is divisible by the number (10) 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 147974480640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (330343104000).

147974480640 is an abundant number, since it is smaller than the sum of its proper divisors (512711727360).

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

147974480640 is an frugal number, since it uses more digits than its factorization.

147974480640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 5419008, while the sum is 54.

The spelling of 147974480640 in words is "one hundred forty-seven billion, nine hundred seventy-four million, four hundred eighty thousand, six hundred forty".