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164337436472 = 23112973075701
BaseRepresentation
bin1001100100001101000…
…1100100011100111000
3120201011221212202021012
42121003101210130320
510143030340431342
6203255013333052
714605302106406
oct2310321443470
9521157782235
10164337436472
1163771220400
1227a24337188
131265ca65b91
147d4d9c4476
15441c668b82
hex2643464738

164337436472 has 96 divisors (see below), whose sum is σ = 343357790160. Its totient is φ = 73675008000.

The previous prime is 164337436411. The next prime is 164337436481. The reversal of 164337436472 is 274634733461.

It is a self number, because there is not a number n which added to its sum of digits gives 164337436472.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 28823222 + ... + 28828922.

Almost surely, 2164337436472 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 164337436472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171678895080).

164337436472 is an abundant number, since it is smaller than the sum of its proper divisors (179020353688).

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

164337436472 is a wasteful number, since it uses less digits than its factorization.

164337436472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6133 (or 6118 counting only the distinct ones).

The product of its digits is 6096384, while the sum is 50.

The spelling of 164337436472 in words is "one hundred sixty-four billion, three hundred thirty-seven million, four hundred thirty-six thousand, four hundred seventy-two".

Divisors: 1 2 4 8 11 22 44 88 97 121 194 242 307 388 484 614 776 968 1067 1228 2134 2456 3377 4268 5701 6754 8536 11402 11737 13508 22804 23474 27016 29779 37147 45608 46948 59558 62711 74294 93896 119116 125422 148588 238232 250844 297176 327569 501688 552997 655138 689821 1105994 1310276 1379642 1750207 2211988 2620552 2759284 3500414 3603259 4423976 5518568 6082967 7000828 7206518 12165934 14001656 14413036 19252277 24331868 28826072 38504554 48663736 66912637 77009108 133825274 154018216 169770079 211775047 267650548 339540158 423550094 535301096 679080316 847100188 1358160632 1694200376 1867470869 3734941738 7469883476 14939766952 20542179559 41084359118 82168718236 164337436472