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4402520001972 = 22323172503154127
BaseRepresentation
bin100000000010000101010…
…1001000000110110110100
3120120212200012002102202100
41000010022221000312310
51034112330110030342
613210253442342100
7633033356400501
oct100041251006664
916525605072670
104402520001972
111448109849824
125b12a305a930
1325c20454a4b1
1411312407c4a8
15797bdc30e4c
hex4010aa40db4

4402520001972 has 72 divisors (see below), whose sum is σ = 11168230784256. Its totient is φ = 1462283371584.

The previous prime is 4402520001961. The next prime is 4402520001973. The reversal of 4402520001972 is 2791000252044.

4402520001972 is a `hidden beast` number, since 4 + 40 + 2 + 520 + 0 + 0 + 1 + 97 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4402520001973) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 28487173 + ... + 28641299.

It is an arithmetic number, because the mean of its divisors is an integer number (155114316448).

Almost surely, 24402520001972 is an apocalyptic number.

It is an amenable number.

4402520001972 is an abundant number, since it is smaller than the sum of its proper divisors (6765710782284).

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

4402520001972 is a wasteful number, since it uses less digits than its factorization.

4402520001972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156957 (or 156952 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 4402520001972 in words is "four trillion, four hundred two billion, five hundred twenty million, one thousand, nine hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 18 36 317 634 951 1268 1902 2503 2853 3804 5006 5706 7509 10012 11412 15018 22527 30036 45054 90108 154127 308254 462381 616508 793451 924762 1387143 1586902 1849524 2380353 2774286 3173804 4760706 5548572 7141059 9521412 14282118 28564236 48858259 97716518 146574777 195433036 293149554 385779881 439724331 586299108 771559762 879448662 1157339643 1543119524 1758897324 2314679286 3472018929 4629358572 6944037858 13888075716 122292222277 244584444554 366876666831 489168889108 733753333662 1100630000493 1467506667324 2201260000986 4402520001972